Mathematical software programming

• Evaluate discrete and continuous mathematical expressions.
• Describe and use data structures such as lists, arrays, and sparse matrices.
• Choose appropriate data types and data structures for a given problem.
• Compare iterative and recursive solutions for simple problems.
• Analyze the runtime behavior and the time and space complexity of simple programs.
• Call external (third party) programs and libraries.
• Design, implement, and document a program that solves a mathematical problem.
• Debug and test mathematical software.
• Describe and use basic object-oriented programming concepts such as classes and objects.
• Explain rounding errors and floating point number representation of real numbers.

Programming paradigms: imperative programming, object-oriented programming.
Data structures: lists, arrays, sparse matrices.
Programming projects encompass:
– Loading data.
– Calling external programs and libraries (especially numerical).
– Optimization and parallelization.

02525/02002/02631/02633/02601, or similar courses that provide knowledge of numerical methods and basic concepts in computer science such as loops, variable types, and simple mathematical operations.

Lectures, exercises, and small programming projects.